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Finding the Fourth Proportional to 808.42, 1,206.38 and 721.05

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Solution

The fourth proportional to 808.42, 1,206.38 and 721.05 is: 1,076.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.42 : 1,206.38 = 721.05 : x
  2. Step 2: Convert to fraction form
    808.42/1,206.38 = 721.05/x
  3. Step 3: Cross multiply
    808.42x = 1,206.38 × 721.05
  4. Step 4: Simplify right side
    808.42x = 869,856.69
  5. Step 5: Solve for x
    x = 869,856.69/808.42
  6. Step 6: Final answer
    x = 1,076.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.